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Finding the Third Proportional to 249,928 and 387,102

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Solution

The third proportional to 249,928 and 387,102 is: 599,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,928 : 387,102 = 387,102 : x
  2. Step 2: Convert to fraction form
    249,928/387,102 = 387,102/x
  3. Step 3: Cross multiply
    249,928x = 387,102 × 387,102
  4. Step 4: Simplify right side
    249,928x = 149,847,958,404
  5. Step 5: Solve for x
    x = 149,847,958,404/249,928
  6. Step 6: Final answer
    x = 599,564.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.